Exact fraction arithmetic
Use whole-number numerators and denominators. The result is exact, reduced, and optionally shown as a mixed number.
Enter values and calculate to see the formula here.
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Why exact fractions matter
Instead of approximating each fraction as a floating-point decimal, BeanNest combines the integer parts and reduces the final numerator and denominator by their greatest common divisor.
A denominator of zero is invalid, and dividing by a fraction whose numerator is zero would also create an undefined result.
The numerator and denominator share no common whole-number factor greater than 1.
If the reduced fraction has an absolute numerator larger than its denominator and a non-zero remainder, BeanNest also shows the whole-number plus remainder form.
Keep checking
Simplify whole-number ratios or solve a missing value in a proportion with the cross-multiplication formula shown.
Open tool →Calculate percent-of, percent ratio, and percentage increase or decrease with the working formula shown.
Open tool →Run everyday arithmetic with keyboard or touch input, percentages, sign changes, square roots, and one-click result copy.
Open tool →